Year 2020, Volume 11 , Issue 3, Pages 762 - 773 2020-12-15

Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers

Madihah KHALİD [1] , Zulmaryan EMBONG [2]


This paper presents the findings of an intervention study that emphasizes concrete representation to improve students’ conceptual understanding in learning mathematics. The study specifically examined the effectiveness of focusing on concrete representations – the algebra tiles, in minimizing students’ errors in the operation on integers. A quasi-experimental design with a sample of 60 students from two intermediate Year 7 classes was employed in this study. The control group and the experimental group consisted of 30 students each, chosen through purposive sampling. Data from pre and post-tests and field notes were collected and analysed to measure changes from the intervention. The quantitative data from the tests showed an increase from 14.70 to 23.47 for the experimental group, as compared to 18.67 to 22.57 for the control group. The ANCOVA returns statistically significant results that can be attributed to the intervention strategies. Data from field notes indicate students’ improvement in problem-solving skills, and students’ interest in the lessons and motivation to learn. This study suggests that teaching with emphasis on concrete representation improves students’ conceptual understanding. Hence students’ understanding of integers was enhanced due to the promotion of concepts through manipulatives, pictures, verbal and symbolic representation which were also employed during the intervention. This study may be useful to teachers who usually encounter problems when teaching this topic.
Algebraic tiles, Teaching and Learning integers, intervention, multiple representation, manipulative
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Primary Language en
Subjects Education and Educational Research
Journal Section Research Articles
Authors

Author: Madihah KHALİD (Primary Author)
Institution: International Islamic University Malaysia
Country: Malaysia


Orcid: 0000-0002-5653-1631
Author: Zulmaryan EMBONG
Institution: International Islamic University Malaysia
Country: Malaysia


Supporting Institution Ministry of Education, Malaysia
Project Number [FRGS/1/2016/SSI09/UIAM/02/10]
Thanks This research was supported by [FRGS/1/2016/SSI09/UIAM/02/10]. We would like to thank the Ministry of Education for providing us with the grant and make this research possible.
Dates

Publication Date : December 15, 2020

Bibtex @research article { turkbilmat775605, journal = {Turkish Journal of Computer and Mathematics Education (TURCOMAT)}, issn = {}, eissn = {1309-4653}, address = {}, publisher = {Türkbilmat Eğitim Hizmetleri}, year = {2020}, volume = {11}, pages = {762 - 773}, doi = {10.16949/turkbilmat.775605}, title = {Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers}, key = {cite}, author = {Khali̇d, Madihah and Embong, Zulmaryan} }
APA Khali̇d, M , Embong, Z . (2020). Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers . Turkish Journal of Computer and Mathematics Education (TURCOMAT) , 11 (3) , 762-773 . DOI: 10.16949/turkbilmat.775605
MLA Khali̇d, M , Embong, Z . "Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers" . Turkish Journal of Computer and Mathematics Education (TURCOMAT) 11 (2020 ): 762-773 <https://dergipark.org.tr/en/pub/turkbilmat/issue/58294/775605>
Chicago Khali̇d, M , Embong, Z . "Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 11 (2020 ): 762-773
RIS TY - JOUR T1 - Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers AU - Madihah Khali̇d , Zulmaryan Embong Y1 - 2020 PY - 2020 N1 - doi: 10.16949/turkbilmat.775605 DO - 10.16949/turkbilmat.775605 T2 - Turkish Journal of Computer and Mathematics Education (TURCOMAT) JF - Journal JO - JOR SP - 762 EP - 773 VL - 11 IS - 3 SN - -1309-4653 M3 - doi: 10.16949/turkbilmat.775605 UR - https://doi.org/10.16949/turkbilmat.775605 Y2 - 2020 ER -
EndNote %0 Türk Bilgisayar ve Matematik Eğitimi Dergisi Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers %A Madihah Khali̇d , Zulmaryan Embong %T Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers %D 2020 %J Turkish Journal of Computer and Mathematics Education (TURCOMAT) %P -1309-4653 %V 11 %N 3 %R doi: 10.16949/turkbilmat.775605 %U 10.16949/turkbilmat.775605
ISNAD Khali̇d, Madihah , Embong, Zulmaryan . "Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 11 / 3 (December 2020): 762-773 . https://doi.org/10.16949/turkbilmat.775605
AMA Khali̇d M , Embong Z . Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2020; 11(3): 762-773.
Vancouver Khali̇d M , Embong Z . Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2020; 11(3): 762-773.
IEEE M. Khali̇d and Z. Embong , "Emphasizing Concrete Representation to Enhance Students’ Conceptual Understanding of Operations on Integers", Turkish Journal of Computer and Mathematics Education (TURCOMAT), vol. 11, no. 3, pp. 762-773, Dec. 2020, doi:10.16949/turkbilmat.775605